First let me dismiss the ones that I think are a joke on this list. The Clash, The Replacements and Radio Heads. The rest, I believe, can spur serious debate. But I wouldn't put any of them in the pioneering class as the Beatles. And no band has ever gone through the evolution the 60's British invasion bands did. The Beatles, Stones, The Who, all started bubble gum and then became psychedelic.
By the way, what is The Who NOT doing on this list??? No band ever dominated pop culture like the Beatles, but in terms of my top 10?
Bob Dylan (If he really belongs here)
Runners up: U2, The Guess Who, Jefferson Airplane, The Grateful Dead